7980edo

7980EDO is the equal division of the octave into 7980 parts of exact 0.1503759 cents each. It is a very strong 5-limit system, tempering out |161 -84 -12> (Kirnberger's atom) and |-1054 665> (satanic comma), as well as |73 77 -84> and |234 -7 -96>. In the 7-limit, it tempers out 78125000/78121827, 140737488355328/140710042265625, and |-17 50 1 -23>. Using the patent val, it tempers out 9801/9800, 47265625/47258883, 39630026842637/39627113103360, and 163470238547968/163443018796875 in the 11-limit.

← 7979edo

7980edo

7981edo →

Prime factorization	22 × 3 × 5 × 7 × 19
Step size	0.150376 ¢
Fifth	4668\7980 (701.955 ¢) (→ 389\665)
Semitones (A1:m2)	756:600 (113.7 ¢ : 90.23 ¢)
Consistency limit	9
Distinct consistency limit	9

Approximation of prime harmonics in 7980edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	-0.0001	+0.0021	+0.0463	-0.0397	+0.0738	+0.0070	-0.0694	-0.0037	+0.0469	-0.0732
	Relative (%)	+0.0	-0.1	+1.4	+30.8	-26.4	+49.1	+4.7	-46.2	-2.4	+31.2	-48.7
Steps (reduced)		7980 (0)	12648 (4668)	18529 (2569)	22403 (6443)	27606 (3666)	29530 (5590)	32618 (698)	33898 (1978)	36098 (4178)	38767 (6847)	39534 (7614)

Todo: improve synopsis